Interval Cascade State Observer Design Method for Linear Delayed Systems

This study introduces an innovative LMI-based approach for creating an interval cascade state observer specifically designed for linear continuous systems with delays. Utilizing interval observation methods, the proposed technique effectively tackles the issues caused by time delays in system dynamics, ensuring reliable state estimation. The stability of the system is thoroughly examined using Lyapunov-Krasovskii functionals, which provide sufficient conditions for the boundedness of estimation errors. The observer's robustness is tested under various disturbances, demonstrating its resilience in different scenarios. Theoretical findings are supported by simulation results, high-lighting the effectiveness and advantages of the proposed observer for systems with time delays.